Geodesic
On the Dirichlet problem for an elliptic operator in a cylindrical domain of Hilbert space
Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 423-438 Cet article a éte moissonné depuis la source Math-Net.Ru

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A special class of elliptic operators with an infinite number of independent variables is introduced in the paper. The Dirichlet problem is considered in a cylindrical domain of Hilbert space for an operator belonging to this class. The investigation is based on the construction of a functional integral of double layer potential type. Bibliography: 11 titles. 
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     title = {On~the {Dirichlet} problem for an elliptic operator in a~cylindrical domain of {Hilbert} space},
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N. N. Frolov. On the Dirichlet problem for an elliptic operator in a cylindrical domain of Hilbert space. Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 423-438. http://geodesic.mathdoc.fr/item/SM_1973_21_3_a4/

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[8] S. D. Eidelman, Parabolicheskie sistemy, izd-vo «Nauka», Moskva, 1964 | MR

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[10] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, izd-vo «Nauka», Moskva, 1964 | MR

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